Search a number
-
+
18397920 = 253538329
BaseRepresentation
bin100011000101…
…1101011100000
31021121201012110
41012023223200
514202213140
61454155320
7312244152
oct106135340
937551173
1018397920
11a4266a2
1261b2b40
133a72158
14262cad2
151936380
hex118bae0

18397920 has 48 divisors (see below), whose sum is σ = 57954960. Its totient is φ = 4905984.

The previous prime is 18397903. The next prime is 18397921. The reversal of 18397920 is 2979381.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18397921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18685 + ... + 19644.

It is an arithmetic number, because the mean of its divisors is an integer number (1207395).

Almost surely, 218397920 is an apocalyptic number.

18397920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18397920 is an abundant number, since it is smaller than the sum of its proper divisors (39557040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18397920 is a wasteful number, since it uses less digits than its factorization.

18397920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38347 (or 38339 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 18397920 is about 4289.2796598030. The cubic root of 18397920 is about 263.9912761121.

The spelling of 18397920 in words is "eighteen million, three hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 38329 76658 114987 153316 191645 229974 306632 383290 459948 574935 613264 766580 919896 1149870 1226528 1533160 1839792 2299740 3066320 3679584 4599480 6132640 9198960 18397920